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Showing posts with the label IIT MATHEMATICS

Vectors

1)Introduction to Vectors  TOPIC 1  - Scalar and Vectors with complex examples TOPIC 2  - Representation of Vectors TOPIC 3  - Types of Vector 2)Mathematical Operations of Vectors  TOPIC 1  - Properties related to Vector Addition TOPIC 2  - Triangular Law of Vector Addition TOPIC 3  - Parallelogram Law of Vector Addition TOPIC 4  - Polygon Law of Vector Addition TOPIC 5  - Representation of Vector in Rectangular Coordinate System TOPIC 6   - Vector Addition in Rectangular Coordinate System TOPIC 7   - Components of Vectors TOPIC 8   - Product of Vector with Scalar TOPIC 9  - Dot Product and Cross Product TOPIC 10   - Dot Product of Two Vectors TOPIC 11  - Dot product of two vectors in Rectangular Coordinate System TOPIC 12  - Cross ...

Trigonometry

1)Trigonometric Ratios  TOPIC 1 -   Reciprocal Relations between Trigonometric Ratios TOPIC 2  - Square Relation Between Trigonometric Ratios TOPIC 3    - Quotient Relations between Trigonometric Ratios TOPIC 4  - Trigonometric Ratios and Identities TOPIC 5  - Trigonometric Ratios of Standard Angles TOPIC 6  - Numericals on Trigonometric Ratios of Standard Angles TOPIC 7  - Trigonometric Ratios of Complementary Angles TOPIC 8   - Solution of Right Triangles TOPIC 9  - Trigonometric Equation and its solution TOPIC 10  - Principal solution of trigonometric equations TOPIC 11  - Problems on Principal Solutions TOPIC 12   - General solution of sinx TOPIC 13   - General solution of cosx TOPIC 14   - General solution of tanx 2)Application of Trigonometry TOPIC 1 - Height...

Function & Relation

1)Function and its Types TOPIC 1 :   Functions TOPIC 2 :  Types of Functions-I TOPIC 3 :  Types of Functions- II TOPIC 4  :  Types of Functions-III (Even, Odd and Periodic functions TOPIC 5 :  Algebraic Functions TOPIC 6 :  Polynomial, Modulus and Signum Functions TOPIC 7 :  Greatest and Least Integer FunctionS TOPIC 8 : Integral and Fractional Part Functions TOPIC 9 :  Equalities of functions 2)Relation and its Types  TOPIC 1 :  Introduction to RelationS TOPIC 2 :  Types of Relations-I TOPIC 3 :   Types of Relations - II(a) TOPIC 4 :  Equivalence Relations 3 )  Algebraic Operations on Functions TOPIC 1 :  Multiplication of a Function By a Scalar TOPIC 2 :  Multiplication of Two Functions 4 )  Graphs of Functions TOPIC 1 :  Wavy Curve Method TOPIC 2 :...

Sets

1)Sets   In  mathematics , a  set  is a collection of distinct objects, considered as an object in its own right. For example, the numbers 2, 4, and 6 are distinct objects when considered separately, but when they are considered collectively they form a single  set  of size three, written {2,4,6}.                                  TOPIC 1 :  Introduction to Sets :                                   TOPIC 2 :  Representation of Sets - Simple Functions                                 TOPIC 3 : Representation of Sets - Advanced Functions                                 TOPIC 4 : Types...